8. A penny on its side moving at speed v slides off the horizontal surface of a table a vertical distance y from the floor.

(a) Show that the penny lands a distance v12y/g from the base of the coffee table.


(b) If the speed is 3.5 m/s and the coffee table is 0.4 m tall, show that the distance the coin lands from the base of the table is 1.0 m. (Use g = 9.8 m/s2.)

Answers

Answer 1

The horizontal distance of the penny from the base of the table is v(2y/g)^1/2.

The distance the coin lands from the base of the table is 1.0 m

Time of motion of the penny

The time of motion of the penny is calculated as follows;

y = vt + ¹/₂gt²

where;

v is initial vertical velocity = 0

y = ¹/₂gt²

2y = gt²

t² = 2y/g

t = √(2y/g)

Horizontal distance of the penny

The horizontal distance of the penny is calculated as;

X = Vₓt -----(1)

where;

Vₓ is initial horizontal velocity = v

Substitute the value of "t" into equation (1)

X = v(√(2y/g)),

X = v(2y/g)^1/2, shown

Distance of the coin

Use the formula above to determine the distance the coin lands from the base of the table.

X = v(√(2y/g)),

X = 3.5[√(2x0.4/9.8)]

X = 3.5(0.2857)

X = 1.0 m, shown

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Related Questions

A 120V AC signal is available at the wall port. You are required to convert it to a constant DC voltage of 12V for a laptop to operate. What are the three electrical components you will be using to achieve the same? Name the components in order and the function it performs.

Answers

Answer:

The following components shall be used in given order:

1. Step Down Transformer     2. Diode as Rectifier     3. Capacitor

Explanation:

The following components shall be used in given order:

1. Step Down Transformer     2. Diode as Rectifier     3. Capacitor

1.STEP DOWN TRANSFORMER:

The step down transformer is first used to convert the 120 V AC signal into 12 V AC signal. Because the output required is of 12 V.

2.DIODE AS RECTIFIER:

Now, the PN Junction diode is used as a rectifier to convert the 12 V AC signal to 12 V  DC signal.

3.CAPACITOR:

Now, the output is in waveforms. So, in order to linearize it in the form of DC current, we use capacitor. The main function of capacitor is to smoothen the signal into a straight line.

A source of heat at 1000 K transfers 1000 kW of power to a power generation device, while producing 400 kW of useful work. Determine the second law efficiency of the system, if the environment is at 300 K.

Answers

Answer:

The value is [tex]\eta _2 = 0.57[/tex]

Explanation:

From the question we are told that

    The temperature of the heat source is [tex]T_s = 1000 \ K[/tex]

    The amount of power transferred is  [tex]P_s = 1000 \ kW = 1000 *10^{3} \ W[/tex]

      The work produced is  [tex]W = 400 \ kW[/tex]

       The temperature of the environment [tex]T_e = 300 \ K[/tex]

Gnerally the Carnot efficiency of the system is mathematically represented as

        [tex]\eta_c = 1 -\frac{T_e}{T_s}[/tex]

=>    [tex]\eta_c = 1 -\frac{300}{1000}[/tex]

=>      [tex]\eta_c = 0.7[/tex]

Generally the first  law efficiency of the system is mathematically represented as

            [tex]\eta _1 = \frac{W}{P_s}[/tex]

=>         [tex]\eta _1 = \frac{400}{1000}[/tex]  

=>         [tex]\eta _1 = 0.40[/tex]

Generally the second  law efficiency of the system is mathematically represented as

                [tex]\eta _2 = \frac{\eta_1}{\eta_c}[/tex]

=>               [tex]\eta _2 = \frac{0.4}{0.7}[/tex]

=>               [tex]\eta _2 = 0.57[/tex]

Which of the following will increase if the voltage in a circuit is increased?
Check all that apply
A.Magnetic force
B. Resistance
C. Current
D. Heat produced by the circuit

Answers

Answer:

D i think (apologies if incorrect)

What is the voltage of a circuit that has a current of 3.7 amps and a resistance of 1.5 ohms.

Answers

Answer:

V = 5.55 volts

Explanation:

Given that,

Current, I = 3.7 A

Resistance, R = 1.5 ohms

We need to find the voltage of the circuit. Let V is the voltage. We can find it using Ohm's law as follows :

V = IR

Substituting all the values, we get :

[tex]V=3.7\times 1.5\\\\=5.55\ V[/tex]

So, the voltage of the circuit is 5.55 V,

At the mail racing championship in England, the winner moved at an average velocity of 2.4 mm/s [ford] for 140 s. Determine the winning snail's displacement during this time interval. [​

Answers

Answer:

Explanation: 1.2 mm

Time= 140 sec

Initial Velocity= 0

Average Velocity= 2.4 mm/s

Displacement=  0.5* (2.4/140) *140 = 1.2 mm

In winter morning, as soon as we wake the air inside the room is cold but if up, the out and return to the same room, we we goo feel warm, why?​

Answers

Answer:

it is all because of nature

The subjective perception of the frequency of sound is called ?

Answers

Answer: The subjective perception of the frequency of sound is called a Pitch

Explanation: Because the Pitch has a lowest and highest  of a sound fundamental

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How much work is done by an applied force to lift a 15-Newton 3Meters and 9.8?

Given=
Unknown=
Formula=
Solution=
Answer=​

Answers

The work done by the applied force of 15 Newton to lift the object up 3 meters is 45 J

W = F d

W = Work done

F = Force

d = Distance

F = 15 N

d= 3 m

W = 15 * 3

W = 15 J

Work done is the amount of force required to move an object. It is denoted by W. Its unit is usually Joules.

Therefore, the work done to lift the object is 15 J

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The two ends of an iron rod are maintained at different temperatures. The amount of heat that flows through the rod by conducting DOES NOT depend on

Answers

Answer:

D mass of the iron rod

Explanation:

A) the length of the iron rod.

B) the thermal conductivity of iron.

C) the temperature difference between the ends of the rod.

D) the mass of the iron rod.

E) the duration of the time interval

The amount of heat that will flow through an iron rod whose two ends are maintained at different temperatures would depend on the thermal conductivity of the iron, the temperature difference between the two ends, the length of the iron rod, and the duration of flow of heat.

The thermal conductivity of any material is an indication of the ability of the materials to conduct heat. The higher the thermal conductivity, the higher the amount of heat a material can conduct within a specified period. Hence, the amount of heat that will flow through the iron rod depends on its thermal conductivity.

The temperature difference between two solid materials depends on the amount of heat that will flow across the materials by conduction. The higher the difference, the more the amount of heat that will flow. Hence, the amount of heat that would be conducted depends on the temperature difference between the two ends of the iron rod

The amount of heat that would move my conduction also depends on the distance that would be traveled by the heat. Due to heat loss to the surrounding, the shorter the distance, the more the heat and vice versa. Hence, the amount of heat that will flow through an iron rod depends on the length of the iron rod.

The duration of flow also dictates the amount of heat that will flow between two regions by conduction. The more the duration, the more the heat, provided that other conditions remain constant.

The only option that the amount of heat that would be conducted does not depend on is the mass of the iron rod.

The correct option is D.

Use the illustration below to answer Question #2:

The color spectrum above shows the wavelength range for each color of light. Based on this information, which statement about the colors at each end is true? (AKS 9a, DOK 1)

Red has the longest wavelength and the lowest frequency
Red has the shortest wavelength and the lowest frequency
Violet has the longest wavelength and the lowest frequency
Violet has the shortest wavelength and the lowest freq

Answers

Violet has the shortest wavelength and the lowest frequency.

When the entire spectrum of red visible light passes through a prism the wavelengths are separated into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength at about 380 nanometers and red has the longest wavelength at about 700 nanometers.

Visible light travels at 300,000 km/s and can be separated into 7 colors. From the longest wavelength, they are red, orange yellow green blue indigo, and violet. To clarify color is the eye's perception of different wavelengths of electromagnetic light. When it comes to visible light, the color with the highest frequency violet also has the highest energy. The lowest frequency of visible light red has the lowest energy.

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if A.B=A.C
does this imply that B must be equal to c ?
I need answer with example please ​

Answers

Answer:

Yes

Explanation:

[tex]Consider\ three\ variables\ a,b\ and\ c.\\If,\\ab=ac\\a*b=a*c\\We\ may\ now\ divide\ the\ LHS\ and\ RHS\ by\ a,\\Hence,\\\frac{a*b}{a} =\frac{a*c}{a}\\Hence,\\b=c[/tex]

[tex]Ex: \\Consider\ a=5, b=6.\\Hence\ if,\\a*b=a*c\\5*6=5*c\\Hence,\\30=5c\\Hence, c=\frac{30}{5}\\c=6\\As\ b\ also\ equals\ to\ 6,\\b=c[/tex]

Which wave has high enough energy to cause damage to skin and sometimes cancer?

Answers

Answer: All UV can have harmful effects on biological matter (such as causing cancers) with the highest energies causing the most damage.

Explanation:

the distance between my home to school is 3 km and 240 m. what is the distance in km,m and dm​

Answers

Answer:

km = 3.24

m = 3,240

dm = 32,400

Explanation:

km = 1000m

m = 10dm

Explanation:

take a look carefully hope it will help u

If a mass of an object is 20 kg on earth, so what will be its weight?

Answers

Answer:

200 Newton

Explanation:

Weight is the force with which earth pulls the object.

W = M× g

where m is mass and g is acceleration due to gravity whose value is approximately 10 Newton

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A car is stopped for a traffic signal. When the light turns green,
the car accelerates, increasing its speed from 0 to 5.20 m/s in
0.832 s. What are the magnitudes of (a) the linear impulse and
(b) the average total force experienced by a 70.0-kg passenger
in the car during the time the car accelerates?

Answers

Answer:

Impulse, p = 364 N·s
Force F =  437.5 N

Explanation:

First some definitions:

Momentum, p is defined as the product of the mass, m  and velocity v.
p = mv
Impulse, J is the change in momentum of a body
J = Δp = p₂ - p₁ = mv₂ - mv₁ = mΔv   where the subscript 1 refers to initial values and subscript 2 to final values.

Part (a)
Since the car is initially at rest, its initial momentum is 0.
When the car reaches a velocity of 5.20 m/s, the momentum experienced by a 70 kg passenger is

Δv = 5.20 - 0 = 5.20 m/s

p = 70 kg x 5.20 m/s =  50.3248 kg m/s =  364 N·s

p = 384 N.s

Part (b)

Force is given by F=m(Δv/Δt) = 70 kg x (5.20 m/s / 0.832 s) = 437.5 N
F = 437.5 N

Dale and Alex push on opposite sides of a couch. Dale pushes to the left with a force of 40 N, while Alex pushes to the right with a force of 32 N. If the
couch has a mass of 28 kg, what is the acceleration of the couch?
A. 2.6 m/s^2 right
B. 2.6 m/s^2 left
C. 0.3 m/s^2 left
D. 0.3 m/s^2 right

Answers

0.3 m/s^2 left will be  the acceleration of the couch.

we have given in the statement

force towards left  40 N

force towards right 32 N

net force = 40-32 = 8 N towards left

couch  mass = 28 kg

now we will use newtons 2nd law to find acceleration

F=ma, here f is force m is mass a is acceleration

a=F/m

a=8/24

a=0.285 ≅ 0.3 N

An object's rise in velocity rate is referred to as acceleration. It is a vector quantity that is sign-sensitive, and the route shift and body speed variance establish the sign norm. it's unit is m/s^2

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0.3 m/s squared left Answer:

Explanation:

The world record for a woman running a marathon is approximately 2.25 hours. If a marathon's distance is 26.2 miles (42164.81 meters) and it is run
in a southeast direction, what is the velocity?
60 mph southeast
0.09 mph southeast
Omph southeast
11.6 mph southeast

Answers

Answer:

11.6mph South East

Explanation:

Given parameters:

Time = 2.25hrs

Displacement  = 26.2miles south east

Unknown:

Velocity = ?

Solution:

Velocity is the displacement divided by the time taken. It is a vector quantity with both magnitude and direction.

 Now;

       Velocity  = [tex]\frac{displacement}{time taken}[/tex]

       Velocity  = [tex]\frac{26.2}{2.25}[/tex]   = 11.6mph South East

Answer:

11.6mph south east.

a sphere with a radius of 8cm carries a uniform volume charge density of 1.5 find the magnitude of the electric field

Answers

Answer:

E = 5.65 x 10¹⁰ N/C

Explanation:

First we need to find the total charge on the sphere. So, we use the following formula for that purpose:

[tex]q = \sigma V\\[/tex]

where,

q = total charge on sphere

V = Volume of Sphere = [tex]\frac{4}{3} \pi r^3 = \frac{4}{3} \pi (0.08\ m)^3 = 0.335\ m^3[/tex]

σ = volume charge density = 1.5 C/m³

Therefore,

[tex]q = (0.335\ m^3)(1.5\ C/m^3) \\q = 0.502 C[/tex]

Now, we use the following formula to find the electric field due to this charged sphere:

[tex]E = \frac{kq}{r^2}[/tex]

where.

E  = Electric Field Magnitude = ?

k = Coulomb's Constant = 9 x 10⁹ N.m²/C²

r = radius of sphere = 8 cm = 0.08 m

Therefore,

[tex]E = \frac{(9\ x\ 10^9\ Nm^2/C^2)(0.502 C)}{(0.08\ m)^2}\\\\[/tex]

E = 5.65 x 10¹⁰ N/C

F x T = m (Vf - Vi)
in this equation what does the M stand for

Answers

Answer:

m = mass [kg]

Explanation:

This equation is characteristic of the amount of motion and momentum.

[tex]F*t = m*(v_{f}-v_{i})[/tex]

where:

F = force [N] (units of Newtons)

t = time = [s]

m = mass [kg]

Vf = final velocity [m/s]

Vi = initial velocity [m/s]

Now using the units and placing them in the equation above.

[tex][N]*[s] = [kg]*(m/s-m/s)\\[/tex]

[tex][N]=[kg*m/s^{2} ][/tex]

Now replacing:

[tex][kg*m/s^{2}]*[s]=[kg*m/s][/tex]

The s² is cancelled with the s, therefore.

[tex][kg*m/s]=[kg*m/s][/tex]

which of the following could be cause of a irregular systolic reading



1. The one-way valves are not working
2 Blood is not flowing properly from the veins to the heart
3 Carbon dioxide and oxygen are mixing in the blood
4. The left ventricle is having difficulty contracting

Answers

Maybe number 4 could help.

10. The Earth's radius is about 6370 km. An object that has a mass of 20 kg is taken to a
height of 160 km above the Earth's surface. How much does the object weigh at this
height?

Answers

Answer:

Weight:

P =m·g₁ = 20·9.55 = 191 H

Explanation:

Given:

R = 6 370 км = 6 370·10³ m

m = 20 kg

h = 160 km = 160·10³ m

g = 9.8 m/s²

____________________

P - ?

Acceleration of free fall at the Earth's surface:

g = G*M / R²    (1)

Acceleration of free fall at height h:

g₁ = G*M / (R + h) ²    (2)

Divide (1) by (2):

g / g₁ = ((R + h) / R)²

g / g₁ = ( 1 + h / R)² = ( 1 + 160 / 6 370)² ≈ 1.026

g₁ = g / 1.026 = 9.8 / 1.026 ≈ 9.55 m/s²

Weight:

P =m·g₁ = 20·9.55 = 191 H

The time taken by a mass projected vertically
upwards to reach the maximum height (with air
resistance not neglected) is 10 sec. The time of
descent of the mass from the same height will be​

Answers

Answer:

10s

Explanation:

The time to get to the maximum would be the same as the time to get down to the maximum unless somehow gravity’s changes during the duration it goes up to and from maximum height.

Damage to internal organs will present as pain associated with a particular surface area of the body. Why would something like irritation to the diaphragm, which is between the thoracic and abdominal cavities, feel like pain in the shoulder or neck?

Answers

A dish shaped large muscle which moves up and down when there is contraction and expansion of lungs is the diaphragm which is present between the chest cavity and lower abdominal region. The action of the diaphragm is affected by an inflammation occurring below the muscular disc which will affect the process of breathing. The forceful breathing may result in strain and stress in the back muscles of the human body. This in turn causes pain in the shoulder.

PLZZZ I will give brainliest. A ball that contains mechanical energy is rolled across the floor. You notice the ball is slowing down. If the ball started with 20 units of energy, explain how much energy would there be when the ball comes to a complete stop? How can you tell?

Answers

Answer: because of friction it will stop rolling completly

Explanation:

PLEASE HELP ME!! I NEED ANSWERS ASAP!!!!

Answers

Answer:

I do not know the answer because not all of the information is there.

Explanation:

Answer:

Beep Beep

Explanation:

HELP right awayyy !!!

Answers

Answer:

Question 4 is actually Acceleration

4 is actually acceleration

Three people are trying to move a box. Which set of forces will result in a net
force on the box of 20 N to the right?
A.
B.
O C.
O D.
18 N
55 N
55 N
6 N
← PREVIOUS
1₂
28 N
16 N 17 N
0
10 N
17 N
$
16 N
-
20 N
6 N



Correct answer is A

Answers

Answer:

A

Explanation:

18-28=10

10+10=20

20N to the right

A powerful missile reaches a speed of 5 kilometers per second in 10 seconds after its launch. What is the average acceleration of the missile during this period?

A. 0.2 meters/second2
B. 0.4 centimeters/second2
C. 0.5 meters/second2
D. 0.5 kilometers/second2

Answers

Answer:

D option

Explanation:

please mark me brainliest and 5 star

Answer:

D. 0.5 km/s2

Explanation:

An 877 kg drag race car accelerates from rest to 116 km/h in 0.951 s. What change in momentum does the force produce? Answer in units of kg. m/s.​

Answers

Answer:

The change in momentum is 28265.71  kg-m/s.

Explanation:

Given that,

Mass of a car, m = 877 kg

Initial velocity of the car, u = 0 (at rest)

Final velocity of the car, v = 116 km/h = 32.23 m/s

Time, t = 0.951 s

We need to find the change in momentum produced by the force. It can be calculated as the difference of final momentum and the initial momentum.

[tex]\Delta P=m(v-u)\\\\=877\times (32.23-0)\\\\=28265.71\ kg-m/s[/tex]

So, the change in momentum is 28265.71  kg-m/s.

As a 3.0 kg bucket is being lowered into a 10 m deepwell, starting from top, the tension in the rope is 9.8 N. theacceleration of the bucket will be:____________A) 6.5 m/s2 downwardB) 9.8 m/s2 downwardC) zeroD) 3.3 m/s2 upwardE) 5.6 m/s2 upward

Answers

Answer:

A) 6.5 m/s²

Explanation:

Mass of the bucket, m = 3.0 kg

depth of the well, d = 10 m

tension on the rope, T = 9.8 N

The net downward force on the bucket is given as;

T = mg - ma

where;

a is downward acceleration of the bucket

9.8 = (3 x 9.8) - 3a

9.8 = 29.4 - 3a

3a = 29.4 - 9.8

3a = 19.6

a = 19.6 / 3

a = 6.53 m/s² downwards

Therefore, the acceleration of the bucket is 6.53 m/s² downwards

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